GCSE GCSE Mathematics

Question 1

Solve for x: 3x + 7 = 22

Accepted Answer

x = 5

Answer

Subtract 7 from both sides: 3x = 15. Divide both sides by 3: x = 5. Always perform the same operation to both sides to keep the equation balanced.

Question 2

What is the gradient of the line y = 4x − 3?

Accepted Answer

4

Answer

In the equation y = mx + c, m is the gradient and c is the y-intercept. For y = 4x − 3, the gradient m = 4 and the y-intercept c = −3.

Question 3

Factorise: x² + 5x + 6

Accepted Answer

(x + 2)(x + 3)

Answer

Find two numbers that multiply to 6 and add to 5: 2 and 3. So x² + 5x + 6 = (x + 2)(x + 3). Note that answers B and C are the same, so (x + 2)(x + 3) is correct.

Question 4

A circle has a radius of 5 cm. What is its area? (Use π ≈ 3.14)

Accepted Answer

78.5 cm²

Answer

Area of a circle = πr² = π × 5² = π × 25 ≈ 3.14 × 25 = 78.5 cm². Remember to square the radius, not the diameter.

Question 5

What is the probability of rolling a 4 on a fair six-sided die?

Accepted Answer

1/6

Answer

A fair die has 6 equally likely outcomes (1, 2, 3, 4, 5, 6). There is one way to roll a 4, so the probability = 1/6 ≈ 0.167.

GCSE Revision Practice Test

GCSE Revision Practice Test

GCSE GCSE Mathematics